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Finding the Fourth Proportional to 7,180.76, 9,906.63 and 5,296.86

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Solution

The fourth proportional to 7,180.76, 9,906.63 and 5,296.86 is: 7,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.76 : 9,906.63 = 5,296.86 : x
  2. Step 2: Convert to fraction form
    7,180.76/9,906.63 = 5,296.86/x
  3. Step 3: Cross multiply
    7,180.76x = 9,906.63 × 5,296.86
  4. Step 4: Simplify right side
    7,180.76x = 52,474,032.18
  5. Step 5: Solve for x
    x = 52,474,032.18/7,180.76
  6. Step 6: Final answer
    x = 7,307.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.